2023/08/28 by Zuo-Ming Ding, Jun He, Ding, Zuo-ming +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2308.14264
openalex publication_date 2023/08/28 · openalex created_date 2023/08/31 · openalex updated_date 2026/07/28
In this work, a study of the DsDs interaction and its couplings to the channels DD and J/ψϕ is performed in a quasipotential Bethe-Salpeter equation approach. The Ds+Ds- and D+D- invariant mass spectra in three-body B decays are investigated in order to understand the origin of X(3960), χc0(3930), and X0(4140) structures reported at LHCb. With the help of effective Lagrangians, the potential kernel can be constructed with meson exchanges, from which the scattering amplitudes can be obtained. By inserting it into the three-body decay processes, the invariant mass spectra can be calculated with an additional Breit-Wigner resonance introduced. The Ds+Ds- invariant mass spectrum in the decay process B+→ D+sD-sK+ is well reproduced, and the X(3960) structure can be explained as a molecular state from the DsDs interaction. The state also exhibits as a peak in the D+D- invariant mass spectrum in the decay B+→ D+D-K+, however, it is too narrow to reproduce the experimental structure around 3930~MeV. The dip around 4140~MeV in the Ds+Ds- invariant mass spectrum can be reproduced by the additional resonance with interference effect. However, a small bump instead of a dip is produced from the DsDs-J/ψϕ coupled-channel effect, which suggests that the X0(4140) cannot be interpreted as the DsDs-J/ψϕ coupling in the current model.